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DEMSO - Đếm số

For a natural number in the decimal number system, we define a bad position is a position in which the corresponding digit and the next digit is differenced by no more than D. If a number has no more than K bad positions, we call it a beautiful number.

Your task is to count the beautiful numbers in the interval (A, B).

Input

A single line consisting of four integers A, B, D, K.

Output

A single line consisting of the number of beautiful numbers in the interval (A, B).

Constraint

1 ≤ A ≤ B ≤ 1015

Example

Input
1 13 1 0

Output
10

Được gửi lên bởi:VOJ problem setters
Ngày:2008-06-07
Thời gian chạy:1s
Giới hạn mã nguồn:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Ngôn ngữ cho phép:ADA95 ASM32 BASH BF C CSHARP CPP C99 CLPS LISP sbcl LISP clisp D FORTRAN HASK ICON ICK JAVA LUA NEM NICE OCAML PAS-GPC PAS-FPC PERL PHP PIKE PRLG-swi PYTHON RUBY SCM guile SCM qobi ST TEXT WHITESPACE
Nguồn bài:VNOI Marathon '08 - Practice Round
Problem Setter: Khúc Anh Tuấn

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